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Finding the Third Proportional to 85,907 and 129,804

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Solution

The third proportional to 85,907 and 129,804 is: 196,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,907 : 129,804 = 129,804 : x
  2. Step 2: Convert to fraction form
    85,907/129,804 = 129,804/x
  3. Step 3: Cross multiply
    85,907x = 129,804 × 129,804
  4. Step 4: Simplify right side
    85,907x = 16,849,078,416
  5. Step 5: Solve for x
    x = 16,849,078,416/85,907
  6. Step 6: Final answer
    x = 196,131.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.